Non-Abelian fractional quantum Hall states and chiral coset conformal field theories

Details Non-Abelian fractional quantum Hall states and chiral coset conformal field theories Non-Abelian fractional quantum Hall states and chiral coset conformal field theories

1999-05-13

arxiv.org/abs/cond-mat/9905192v2

Int.J.Mod.Phys. A15 (2000) 4857-4870

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised manuscript, 17 pages; new section discusses parafermion states

Scientific paper

10.1142/S0217751X00002352

We propose an effective Lagrangian for the low energy theory of the Pfaffian states of the fractional quantum Hall effect in the bulk in terms of non-Abelian Chern-Simons (CS) actions. Our approach exploits the connection between the topological Chern-Simons theory and chiral conformal field theories. This construction can be used to describe a large class of non-Abelian FQH states.

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